2(1+m)+5(m-1)=11

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Solution for 2(1+m)+5(m-1)=11 equation:


Simplifying
2(1 + m) + 5(m + -1) = 11
(1 * 2 + m * 2) + 5(m + -1) = 11
(2 + 2m) + 5(m + -1) = 11

Reorder the terms:
2 + 2m + 5(-1 + m) = 11
2 + 2m + (-1 * 5 + m * 5) = 11
2 + 2m + (-5 + 5m) = 11

Reorder the terms:
2 + -5 + 2m + 5m = 11

Combine like terms: 2 + -5 = -3
-3 + 2m + 5m = 11

Combine like terms: 2m + 5m = 7m
-3 + 7m = 11

Solving
-3 + 7m = 11

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + 7m = 11 + 3

Combine like terms: -3 + 3 = 0
0 + 7m = 11 + 3
7m = 11 + 3

Combine like terms: 11 + 3 = 14
7m = 14

Divide each side by '7'.
m = 2

Simplifying
m = 2

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